Question

In: Finance

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The...

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 6%. What would the Year 3 monthly payment be? with the way please.

Solutions

Expert Solution

Note : The EMI has been calculated by using PMT formula in Excel.

Loan amount          2,00,000
Interest Rate For first 2 years 4% Monthly int Rate 0.33%
Time Period (years) 30 Number of Months 360
EMI ₹ 954.83

At the end of seconf year the new rate will be applicable on the remaining principle amount.

Balance Principle at the end of two years 1,92,500.24
Interest Rate 6%
Remainig Time (years) 28
EMI ₹ 1,184.12

Working: Calculation of principle amount at the end of secend year.

Months Begening EMI Interest Principle Balance
0 200000.00 954.83 666.67 288.16 199711.84
1 199711.84 954.83 665.71 289.12 199422.71
2 199422.71 954.83 664.74 290.09 199132.62
3 199132.62 954.83 663.78 291.06 198841.57
4 198841.57 954.83 662.81 292.03 198549.54
5 198549.54 954.83 661.83 293.00 198256.54
6 198256.54 954.83 660.86 293.98 197962.57
7 197962.57 954.83 659.88 294.96 197667.61
8 197667.61 954.83 658.89 295.94 197371.67
9 197371.67 954.83 657.91 296.93 197074.75
10 197074.75 954.83 656.92 297.91 196776.83
11 196776.83 954.83 655.92 298.91 196477.93
12 196477.93 954.83 654.93 299.90 196178.02
13 196178.02 954.83 653.93 300.90 195877.12
14 195877.12 954.83 652.92 301.91 195575.21
15 195575.21 954.83 651.92 302.91 195272.30
16 195272.30 954.83 650.91 303.92 194968.38
17 194968.38 954.83 649.89 304.94 194663.44
18 194663.44 954.83 648.88 305.95 194357.49
19 194357.49 954.83 647.86 306.97 194050.52
20 194050.52 954.83 646.84 308.00 193742.52
21 193742.52 954.83 645.81 309.02 193433.50
22 193433.50 954.83 644.78 310.05 193123.45
23 193123.45 954.83 643.74 311.09 192812.36
24 192812.36 954.83 642.71 312.12 192500.24

Related Solutions

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The...
A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a "teaser" rate of 2%, after that, the rate can reset with a 7% annual payment cap. On the reset date, the composite rate is 6%. Assume that the loan allows for negative amortization. What would be the outstanding balance on the loan at the end of Year 3?
A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The...
A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 6%. What would the Year 3 monthly payment be? $955 $1,003 $1,067 $1,186 Because of the payment cap, the payment would not change.
A borrower takes out a 30-year adjustable rate mortgage loan for $325,000 with monthly payments.
A borrower takes out a 30-year adjustable rate mortgage loan for $325,000 with monthly payments. The first two years of the loan have a "teaser" rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 6%. Assume that the loan allows for negative amortization. What would be the outstanding balance on the loan at the end of Year 3?
A borrower takes out a 30-year adjustable rate mortgage loan for $400,000 with monthly payments. The...
A borrower takes out a 30-year adjustable rate mortgage loan for $400,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be?
. A borrower takes out a 30 - year adjustable rate mortgage loan for $200,000 with...
. A borrower takes out a 30 - year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be? (A) $955 (B) $1,067 (C) $1,071 (D) $1,186 (E) Because of the rate cap, the payment would not change.
A borrower takes out a 15-year adjustable rate mortgage loan for $560,000 with monthly payments. The...
A borrower takes out a 15-year adjustable rate mortgage loan for $560,000 with monthly payments. The first 4 years of the loan have a “teaser” rate of 5%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 9%. What would the Year 5 (after 4 years; 11 years left) monthly payment be?
A borrower takes out a 15-year adjustable rate mortgage loan for $550,000 with monthly payments. The...
A borrower takes out a 15-year adjustable rate mortgage loan for $550,000 with monthly payments. The first 5 years of the loan have a “teaser” rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 7%. What would the Year 6 (after 5 years; 10 years left) monthly payment be?
A borrower takes out a 25-year adjustable rate mortgage loan for $446,242 with monthly payments. The...
A borrower takes out a 25-year adjustable rate mortgage loan for $446,242 with monthly payments. The first two years of the loan have a "teaser" rate of 4%, after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be?
A borrower takes out a 28-year adjustable rate mortgage loan for $451,185 with monthly payments. The...
A borrower takes out a 28-year adjustable rate mortgage loan for $451,185 with monthly payments. The first two years of the loan have a "teaser" rate of 4%; after that, the rate can reset with a 2% annual rate cap. On the reset date, the composite rate is 5%. What would the Year 3 monthly payment be?
A borrower takes out a 30-year price level adjusted mortgage loan for $200,000 with monthly payments....
A borrower takes out a 30-year price level adjusted mortgage loan for $200,000 with monthly payments. The initial interest rate is 4% with 4 points. Assuming that inflation is expected to increase at the rate of 3% for the next 5 years, and a fully amortizing loan is made. a) What is the monthly payment in year 2? b) What is the expected effective yield to the lender if the loan is repaid in 2 years?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT